Pablo Pedregal

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All published works
Action Title Year Authors
+ PDF Chat Beyond Peano's theorem: a variational look at discontinuous ODE systems 2024 Pablo Pedregal
+ Existence and relaxation for optimal control governed by steady, quasilinear PDEs 2024 Pablo Pedregal
+ Introduction to Convex Analysis: The Hahn-Banach and Lax-Milgram Theorems 2024 Pablo Pedregal
+ Continuous Operators 2024 Pablo Pedregal
+ Functional Analysis, Sobolev Spaces, and Calculus of Variations 2024 Pablo Pedregal
+ The Calculus of Variations for One-dimensional Problems 2024 Pablo Pedregal
+ A First Exposure to Functional Analysis 2024 Pablo Pedregal
+ Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case 2023 Luís Bandeira
Pablo Pedregal
+ PDF Chat $${\mathcal {A}}$$-Variational Principles 2023 Luís Bandeira
Pablo Pedregal
+ On a special class of non-local variational problems 2023 Pablo Pedregal
+ PDF Chat On some non-linear systems of PDEs related to inverse problems in 3-d conductivity 2022 Pablo Pedregal
+ PDF Chat On a general variational framework for existence and uniqueness in Differential Equations 2022 Pablo Pedregal
+ Steady Systems of PDEs. Two Examples from Applications 2022 Pablo Pedregal
+ On a new type of boundary condition 2021 Pablo Pedregal
+ Existence under lack of convexity 2021 Pablo Pedregal
+ PDF Chat On non-locality in the calculus of variations 2021 Pablo Pedregal
+ Some non-linear systems of PDEs related to inverse problems in conductivity 2021 Faustino Maestre
Pablo Pedregal
+ PDF Chat Inverse Quasiconvexification 2021 Pablo Pedregal
+ Hilbert's 16th problem 2021 Pablo Pedregal
+ On a general variational framework for existence and uniqueness in Differential Equations 2021 Pablo Pedregal
+ Hilbert's 16th problem 2021 Pablo Pedregal
+ On non-locality in the Calculus of Variations 2020 Pablo Pedregal
+ On non-locality in the Calculus of Variations 2020 Pablo Pedregal
+ PDF Chat Some Remarks on a Variational Method for Stiff Differential Equations 2019 Sergio Amat
M.J. Legaz
Pablo Pedregal
+ Hilbert's 16th problem. II. Pfaffian equations and variational methods 2019 Pablo Pedregal
+ PDF Chat Analysis of Continuous $$H^{-1}$$-Least-Squares Methods for the Steady Navier–Stokes System 2019 J M Lemoine
Arnaud Münch
Pablo Pedregal
+ Hilbert's 16th problem. I. When differential systems meet variational methods 2019 Jaume Llibre
Pablo Pedregal
+ Rank-one convexity implies quasiconvexity for two-component maps 2019 Pablo Pedregal
+ Inverse quasiconvexification 2019 Pablo Pedregal
+ Hilbert's 16th problem. II. Pfaffian equations and variational methods 2019 Pablo Pedregal
+ On a variant of Tykhonov regularization in optimal control under PDEs 2018 Pablo Pedregal
+ What Does Rank-One Convexity Have to Do with Viscosity Solutions? 2018 Pablo Pedregal
+ Young-measure solutions for multidimensional systems of conservation laws 2018 Pablo Pedregal
+ On a variant of Tykhonov regularization in optimal control under PDEs 2018 Pablo Pedregal
+ PDF Chat About Least-Squares Type Approach to Address Direct and Controllability Problems 2017 Arnaud Münch
Pablo Pedregal
+ PDF Chat A dynamical system perspective on mathematical programming 2017 Pablo Pedregal
+ PDF Chat Optimal feedback control, linear first-order PDE systems, and obstacle problems 2017 Pablo Pedregal
+ Numerical Approximation of Variational Problems 2017 Pablo Pedregal
+ Nonlinear Programming 2017 Pablo Pedregal
+ Linear Programming 2017 Pablo Pedregal
+ Numerical Approximation 2017 Pablo Pedregal
+ The Role of Non-Negative Polynomials For Rank-One Convexity and Quasi Convexity 2016 Luís Bandeira
Pablo Pedregal
+ Relaxation Through Moments 2016 Pablo Pedregal
+ Simulation 2016 Pablo Pedregal
+ PDF Chat Weak Limits in Nonlinear Conductivity 2015 Pablo Pedregal
+ Approximation of Hamiltonian Systems using an Alternative Variational Technique 2015 Sergio Amat
M. Jos
Pablo Pedregal
+ A variable step-size implementation of a variational method for stiff differential equations 2014 Sergio Amat
M.J. Legaz
Pablo Pedregal
+ Hilbert's 16th problem. When variational principles meet differential systems 2014 Jaume Llibre
Pablo Pedregal
+ An alternative method for constrained optimization 2014 Pablo Pedregal
+ PDF Chat Numerical null controllability of the heat equation through a least squares and variational approach 2014 Arnaud Münch
Pablo Pedregal
+ Weak limits in non-linear conductivity 2014 Pablo Pedregal
+ Constrained optimization through fixed point techniques 2014 Pablo Pedregal
+ Some evidence in favor of Morrey's conjecture 2014 Pablo Pedregal
+ A different look at controllability 2014 Pablo Pedregal
+ Hilbert's 16th problem. When variational principles meet differential systems 2014 Jaume Llibre
Pablo Pedregal
+ Weak limits in non-linear conductivity 2014 Pablo Pedregal
+ Optimal feedback control, linear first-order PDE systems, and obstacle problems 2014 Pablo Pedregal
+ Linearizing Stiff Delay Differential Equations 2013 Sergio Amat
M.J. Legaz
Pablo Pedregal
+ On a variational approach for the analysis and numerical simulation of ODEs 2012 Sergio Amat
Pablo Pedregal
+ A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing‐venting control system of manned submarines 2012 Roberto Font
Pablo Pedregal
Francisco Periago
+ An optimization approach for the numerical approximation of differential equations 2012 Sergio Amat
David J. López
Pablo Pedregal
+ NON-PERIODIC Γ-CONVERGENCE: APPLICATION TO A MAIN EXAMPLE OF A NON-FINER OSCILLATION OPERATOR IN HIGHER DIMENSION 2012 Pablo Pedregal
Hélia Serrano
+ PDF Chat On a Newton-Type Method for Differential-Algebraic Equations 2012 Sergio Amat
M.J. Legaz
Pablo Pedregal
+ A Variational Approach for the Navier–Stokes System 2011 Pablo Pedregal
+ Aproximaci on de ecuaciones diferenciales usando un m etodo variacional 2011 Sergio Sebastiá Amat
Mar ̋ A Jos
Pablo Pedregal
+ Quasiconvexity: the quadratic case revisited, and some consequences for fourth-degree polynomials 2010 Luís Bandeira
Pablo Pedregal
+ On a Generalization of Compact Operators and its Application to the Existence of Critical Points Without Convexity 2010 Pablo Pedregal
+ PDF Chat On two-dimensional ferromagnetism 2009 Pablo Pedregal
Baisheng Yan
+ PDF Chat Existence Results for Optimal Control Problems with Some Special Nonlinear Dependence on State and Control 2009 Pablo Pedregal
Jorge Tiago
+ Dynamic materials for an optimal design problem under the two-dimensional wave equation 2008 Faustino Maestre
Pablo Pedregal
+ Finding new families of rank-one convex polynomials 2008 Pablo Pedregal
Luís Bandeira
+ Quasiconvexification of sets in optimal design 2008 Omar Boussaid
Pablo Pedregal
+ COMPOSITION FUNCTIONALS IN CALCULUS OF VARIATIONS: APPLICATION TO PRODUCTS AND QUOTIENTS 2007 Enrique Castillo
Alberto Luceño
Pablo Pedregal
+ PDF Chat Optimal design and optimal damping set for a hyperbolic problem (Poster Presentation) 2007 Faustino Maestre
Arnaud Münch
Pablo Pedregal
+ New Existence Result for Autonomous One-Dimensional Optimal Control Problems 2007 Pablo Pedregal
Jorge Tiago
+ PDF Chat An alternative approach for non-linear optimal control problems based on the method of moments 2007 René Meziat
Diego Patiño
Pablo Pedregal
+ An optimal bi-design problem for a damped wave equation 2007 Faustino Maestre
Arnaud Münch
Pablo Pedregal
+ PDF Chat A Spatio-temporal Design Problem for a Damped Wave Equation 2007 Faustino Maestre
Arnaud Münch
Pablo Pedregal
+ Optimal design of the damping set for the stabilization of the wave equation 2006 Arnaud Münch
Pablo Pedregal
Francisco Periago
+ A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals 2006 Jonathan J. Bevan
Pablo Pedregal
+ Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation 2006 Pablo Pedregal
Francisco Periago
+ Variational principles with integrands defined through a minimum 2006 Pablo Pedregal
+ Partial Minimization for Vector Variational Problems 2006 Pablo Pedregal
+ Optimal Design in Two-Dimensional Conductivity for a General Cost Depending on the Field 2006 Pablo Pedregal
+ PDF Chat Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity 2005 Faustino Maestre
Pablo Pedregal
+ Multi-scale Young measures 2005 Pablo Pedregal
+ Remarks on ¨-Convergence and the Monge-Kantorovich Mass Transfer Problem 2005 Pablo Pedregal
+ Introduction to Optimization 2004 Pablo Pedregal
+ $\Gamma$-Convergence through Young Measures 2004 Pablo Pedregal
+ Nonlinear Programming 2004 Pablo Pedregal
+ Linear Programming 2004 Pablo Pedregal
+ On the Generality of Variational Principles 2003 Pablo Pedregal
+ PDF Chat Some remarks on existence results for optimal boundary control problems 2003 Pablo Pedregal
+ On a variational principle related to rank-one convexity 2002 Pablo Pedregal
+ On a variational principle related to rank-one convexity 2002 Pablo Pedregal
+ Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing 2002 José C. Bellido
Pablo Pedregal
+ Formulaciy Resolucide Modelos 2002 Enrique Castillo
Antonio J. Conejo
Pablo Pedregal
+ Computational Methods for Nonlinear Programming 2001 Enrique Castillo
Antonio J. Gonejo
Pablo Pedregal
Ricardo Garciá
Natalia Alguacil
+ Optimality and Duality in Nonlinear Programming 2001 Enrique Castillo
Antonio J. Gonejo
Pablo Pedregal
Ricardo Garciá
Natalia Alguacil
+ Appendix A: Compatibility and Set of All Feasible Solutions 2001 Enrique Castillo
Antonio J. Gonejo
Pablo Pedregal
Ricardo Garciá
Natalia Alguacil
+ An Introduction to Linear Programming 2001 Enrique Castillo
Antonio J. Gonejo
Pablo Pedregal
Ricardo Garciá
Natalia Alguacil
+ A refinement on existence results in nonconvex optimal control 2001 Julio Muñoz
Pablo Pedregal
+ Numerical approximation of non-homogeneous, non-convex vector variational problems 2001 Ernesto Aranda
Pablo Pedregal
+ Constrained Quasiconvexity and Structural Optimization 2000 Pablo Pedregal
+ 2. Quasi Convexity and Young Measures 2000 Pablo Pedregal
+ PDF Chat Optimization, relaxation and Young measures 1999 Pablo Pedregal
+ A note on quasiconvexity and rank-one convexity for matrices. 1998 Pablo Pedregal
Vladimír Šverák
+ An Elementary Proof of the Fundamental Property of a Perfect Gas 1998 D. R. J. Owen
Pablo Pedregal
+ Analysis of Concentration and Oscillation Effects Generated by Gradients 1998 Irene Fonseca
Stefan Müller
Pablo Pedregal
+ Equilibrium Conditions for Young Measures 1998 Pablo Pedregal
+ The quasiconvexification of a cubic polynomial at the origin 1997 Pablo Pedregal
Vladimír Šverák
+ The Calculus of Variations under Convexity Assumptions 1997 Pablo Pedregal
+ Analysis of Divergence-Free Parametrized Measures 1997 Pablo Pedregal
+ Parametrized Measures and Variational Principles 1997 Pablo Pedregal
+ Analysis of Parametrized Measures 1997 Pablo Pedregal
+ Analysis of Gradient Parametrized Measures 1997 Pablo Pedregal
+ The Fundamental Property of a Perfect Gas and the Second Law of Thermodynamics 1996 Manuel Monle x F n Pradas
Pablo Pedregal
+ The fundamental property of a perfect gas and the second law of thermodynamics 1996 Manuel Monleón Pradas
Pablo Pedregal
+ On the numerical analysis of non-convex variational problems 1996 Pablo Pedregal
+ Some remarks on quasiconvexity and rank-one convexity 1996 Pablo Pedregal
+ Relaxation in ferromagnetism: The rigid case 1994 Pablo Pedregal
+ Energy functional depending on elastic strain and chemical composition 1994 Irene Fonseca
David Kinderlehrer
Pablo Pedregal
+ Gradient Young measures generated by sequences in Sobolev spaces 1994 David Kinderlehrer
Pablo Pedregal
+ PDF Chat Jensen's inequality in the calculus of variations 1994 Pablo Pedregal
H. Brézis
+ Remarks about separately convex functions 1993 Pablo Pedregal
+ Laminates and microstructure 1993 Pablo Pedregal
+ PDF Chat Weak Convergence of Integrands and the Young Measure Representation 1992 David Kinderlehrer
Pablo Pedregal
+ Characterizations of young measures generated by gradients 1991 David Kinderlehrer
Pablo Pedregal
+ Weak continuity and weak lower semicontinuity for some compensation operators 1989 Pablo Pedregal
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Parametrized Measures and Variational Principles 1997 Pablo Pedregal
22
+ A version of the fundamental theorem for young measures 2005 J. M. Ball
13
+ Characterizations of young measures generated by gradients 1991 David Kinderlehrer
Pablo Pedregal
12
+ Weak Convergence Methods for Nonlinear Partial Differential Equations 1990 Lawrence Evans
12
+ Rank-one convexity does not imply quasiconvexity 1992 Vladimír Šverák
12
+ Multiple Integrals in the Calculus of Variations 1966 Charles B. Morrey
9
+ Gradient Young measures generated by sequences in Sobolev spaces 1994 David Kinderlehrer
Pablo Pedregal
9
+ PDF Chat Quasi-convexity and the lower semicontinuity of multiple integrals 1952 Charles B. Morrey
9
+ Quasiconvexity and relaxation of nonconvex problems in the calculus of variations 1982 Bernard Dacorogna
7
+ PDF Chat Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals 1982 Bernard Dacorogna
7
+ Compensated compactness and applications to partial differential equations 1979 Luc Tartar
6
+ On a variational approach for the analysis and numerical simulation of ODEs 2012 Sergio Amat
Pablo Pedregal
6
+ Optimal design of the damping set for the stabilization of the wave equation 2006 Arnaud Münch
Pablo Pedregal
Francisco Periago
6
+ $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures 1999 Irene Fonseca
Stefan Müller
6
+ PDF Chat Some examples of rank one convex functions in dimension two 1990 Bernard Dacorogna
J. Douchet
Wilfrid Gangbo
Jacques Rappaz
6
+ Weak continuity and weak lower semicontinuity for some compensation operators 1989 Pablo Pedregal
6
+ Laminates and microstructure 1993 Pablo Pedregal
6
+ PDF Chat Weak Convergence of Integrands and the Young Measure Representation 1992 David Kinderlehrer
Pablo Pedregal
6
+ New development in freefem++ 2012 Frédéric Hecht
6
+ On the Generality of Variational Principles 2003 Pablo Pedregal
6
+ Examples of rank-one convex functions 1990 Vladimír Šverák
5
+ PDF Chat Biting theorems for Jacobians and their applications 1990 Kewei Zhang
5
+ Lower semicontinuity of multiple integrals and the Biting Lemma 1990 J. M. Ball
Kewei Zhang
5
+ Modern convergence theory for stiff initial-value problems 1993 Winfried Auzinger
Reinhard Frank
G. Kirlinger
5
+ PDF Chat Remarks on Chacon’s biting lemma 1989 J. M. Ball
François Murat
5
+ The Compensated Compactness Method Applied to Systems of Conservation Laws 1983 Luc Tartar
5
+ Some non-linear systems of PDEs related to inverse problems in conductivity 2021 Faustino Maestre
Pablo Pedregal
5
+ Quasiconvex functions with subquadratic growth 1991 Vladimír Šverák
5
+ New examples of quasiconvex functions 1992 Vladimír Šverák
4
+ PDF Chat Optimal Control of Differential and Functional Equations 1972 J. Warga
4
+ Relaxation of a variational method for impedance computed tomography 1987 Robert V. Kohn
Michael Vogelius
4
+ PDF Chat Numerical analysis of oscillations in nonconvex problems 1991 Michel Chipot
4
+ PDF Chat Partial Differential Equations 1988 Shiing-Shen Chern
4
+ PDF Chat Quasi-convexity and lower semi-continuity of multiple variational integrals of any order 1965 Norman G. Meyers
4
+ PDF Chat Discrete mechanics and variational integrators 2001 Jerrold E. Marsden
Matthew West
4
+ PDF Chat Variational Calculus and Optimal Control 1996 John L. Troutman
4
+ PDF Chat Variational time integrators 2004 Adrián J. Lew
Jerrold E. Marsden
M. Ortíz
Matthew West
4
+ Convex analysis and minimization algorithms 1993 Jean‐Baptiste Hiriart‐Urruty
Claude Lemaréchal
4
+ None 1999 Stefan Müller
4
+ Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems 1991 Ernst Hairer
Gerhard Wanner
4
+ PDF Chat Calderón’s inverse conductivity problem in the plane 2006 Kari Astala
Lassi Païvärinta
4
+ Nonlocal regularization of L. C. Young's tacking problem 1992 Deborah Brandon
Robert C. Rogers
4
+ Relaxation in ferromagnetism: The rigid case 1994 Pablo Pedregal
4
+ Relaxation in Optimization Theory and Variational Calculus 1997 Tomáš Roubı́ček
4
+ Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions 1978 David L. Russell
4
+ Lower semicontinuity of surface energies 1992 Irene Fonseca
4
+ An extension of B-convergence for Runge-Kutta methods 1992 Winfried Auzinger
Reinhard Frank
G. Kirlinger
4
+ An example of a quasiconvex function that is not polyconvex in two dimensions 1992 Jean Jacques Alibert
Bernard Dacorogna
4
+ A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory 1984 Erik J. Balder
3
+ Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields 1977 Vladimir I. Arnold
3